Final answer:
The actual area of the house is 1620 square feet
Step-by-step explanation:
To find the actual area of the house, we need to first find the dimensions of the house using the given scale. The scale is 2 in = 9 ft, which means 1 inch on the drawing represents 4.5 feet in real life. Since the width of the house on the drawing is 8 inches, the actual width of the house is 8 inches x 4.5 feet/inch = 36 feet.
Similarly, the length of the house on the drawing is 10 inches, so the actual length of the house is 10 inches x 4.5 feet/inch = 45 feet.
Now, to find the actual area of the house, we simply multiply the actual width and length: 36 feet x 45 feet = 1620 square feet.